[Music] [Applause] Hi here's the sedal guy we are now studying into some really interesting new techniques and on this lesson we're going to show you how to watch out for three numbers in a line either vertical or horizontal within a block we're going to show you where you can put three little numbers in a line within a block but nowhere else and we're going to show you how to take one number out of three blocks and work out other small numbers in the other two blocks so there's lots in this lesson so here it goes first step we're going to look for the ones on the horizontal for I'm assuming now that you know what the top middle bottom is and left center right so they're no longer going to be here to give you a clue the ones well we have one one okay twos only one two threes we have the threes already fours we only have one four fives we don't have any fives sixes we have the sixes already in place seven only one seven eight there's two eights there's a one in this block there's one in this block a middle and a bottom so this eight must be in the top of this block and there's only one place for it to go so there oops there it goes I was did the wrong end of the of the stick here okay put it use black it's easier for you to read here we go eight okay nines there's only one nine so therefore we go to these three blocks we have two ones top bottom it has to be in the middle now if I look across here we could have one one one but if I look up here that cancels that one out if I look here this one cancels that one out so the only Place one can go is there twos well here's a top here's a middle this one has to be in the bottom that was easy threes there are no threes fours there's only one four fives there's only one five sixes there's no sixes sevens there's only one seven eights there's 28s there's a bottom there's a middle this one has to be in the top so there it goes nines we only have one nine so guess what we're now onto the third uh set of horizontal blocks here we have a one there we have a one bottom middle has to be that one the top right there twos no twos but we have two fives of middle a top so we put them here as a five and a five and then we look up are there any fives up in here no there's not leave them right there they are sixes here we go a bottom a middle a six has to be in here but it can't be there because of that six so it can be here or here cuz there's no sixes in those columns so six goes there and there sevens well we have a top here we have a bottom here this one has to go there or there now have a look at this can't go there because of that seven so it has to go there okay eight is only eight and nines I think there's only one nine so now we do vertical blocks let's do the ones we have a right we have a left and we have a center it could be there or there but let's look across look if we cross there there's a one so that cancels that one out so this has to be the one twos we have two twos we have a two here on the right two in the center and we could have a two two and a two here so we put in this is this is the first time I'm going to explain this for something new here two could go in any of these three cells but because they are in a line within a block we can put three twos in okay um we don't know which one is going to be yet so put the little numbers in threes let's have a look we have a three here and we have a three here so it's a left and a center so the three has to be over here in this block in this spot here and it's just there and there okay fours we have 14 well H well we need a bit more information but there I can tell you how we can do this but we'll do that in a future lesson fives now this is a very important thing I'm going to explain to you A five we've only got one five however if we put it there and there we cannot do it that way because there's no room for a five on the left this is a right center left no room there that line of three stops you from doing that so you cannot have a five there or there it must be there because there's room for it to go up there so here we go we put a five so there's one the first example of how one number can help you get the other numbers in the other blocks so that's a five that's important to know now let's take a six we've got a six here we've got a sixes down in here uh we know we can't put a six in there so the only other two places in this block for a six is there and there now that's very important because using right center and left we know that six is have to be in here in this section of this block but when I look across here you could say well 66 six all the way down but there's a six here so that cancels out a six here there's a six here so this cancels out a six here so that's the only place a six can go so we put a six big six in there now we did that because we understood that that's the only two places a six can go in this block they can't go here because it's the six there and this is the way in which you can use just one number to get other little numbers and big numbers okay sevens well we have two sevens at Center left so this becomes a seven well that's already completed that box eights we have two eights we have an eight here on the left right it has to be in the center so this is no longer six because we've got our six that becomes the eight now we have a line there too okay now nines let's look at the nines we only have one nine but I'm going to do the same thing as we did for the sixes here yes we only have one nine but you know you can't have a nine in here in this block it has to be over here be there or there okay but let's very briefly we put it there it looks like a matching pair which it is but look over here we have a nine so that change ches things imediately this becomes the three and this becomes the nine now we have a nine possible down in here we have a 29 and a 29 middle right left but I want to show you something here this nine could be we could do it use what we call ramifications can we we really can't yet okay what about the nine that we put in here can we do ramifications of that one I think we can we have a nine there we have a nine there one of these two has got to be a nine okay fine what else ramifications can we get from those numbers that we got seven no there's no luck there um eight we eight eight eight we've got the eight there what other new numbers did we get five five well I can tell you something here this is so important that five means you can't have a five there and there and in this block the only place the five can go is there or there now that's really important and you'll see why later okay sixes we did 666 let me see I'm just making sure that we covered all the ramifications of those right I think we have so let's push on to this column we have ones we have a one here we have a one here the only place for a one is there and you can check that out we have a one one one that that fits twos we only have one two leave it threes we have a three here and we have a three here now this is an important thing to do because if we have a left and we have a right we have a three here so we can only put a little three in there and there cuz there's no other threes along this way there's no other threes along this way fours there's no fours well I never fives now comes to what I was saying before we um have a choice here we can do a five here or here but if you got two fives there it's going to be one of those so it can't be there just for fun I'm going to show you a neat trick here this row we know how to handle this row what's left in that Row one there's a two left and 3 4 five 6 7 8 nine is that right 29 and a 29 they're they're matching pair if that's a 29 and a 29 this is a two here look at that two that means it cancels out that two so this becomes a nine and therefore this becomes a two now let's look at these fives again and you'll see what I'm what I'm talking about these fives we can have we cannot have a five in the middle here anywhere because if it is in the middle this line of three numbers stops it from happening there's no room for it so the only place for a five to go therefore is over here and that's important to understand when you have a five here you cannot have a five here because well you can't have it there because it's in the same column you can't have a five there because anywhere there because that line stops it from going over to the left remember right center left no room for it so it goes right left Center New Concept but very valuable to know okay sixes we have a six here and we have a six here so we could have a six in the each each one of these yes it can it's in a line within a block you can do that sevens well this is interesting we could have a seven somewhere in here but wonder where well let's find out gives ourselves a clue there's a six here and a six here what's the other number that could be there 1 2 3 4 5 6 it's got to be a seven so if I do that now let's see what happens 67 is a matching pair that could be a seven but that cannot be a seven so here's one example where we can have a a seven three numbers but no more that's it okay um eight here's an eight on the left eight one of these is an eight it cannot be there because of that eight so it goes there very good nine we have a nine on the left nine on the right the center it has to be in the center there it goes there what do that ramification got this nine means that this becomes a two and this becomes a nine what's the ramification of that let's have a look well we've got the twos are already in place the two here we don't know about don't know where else we can go but we know we can't put a two there because we've already got a two in this block there is only two spots for the two and it cannot go there so it must by Logic go there now this is interesting because when we look very quickly we've got several gaps that we can fill in this block has only got one left this block has only got one left this column has only got one left so let's fill it in while we see the opportunity this is a 1 2 3 uh four this column needs a four okay does that have any ramifications well guess what in this block the only one that's missing is a four 1 2 3 4 this has to be a four so we filled in that block and that column we' got this column filled filled in as well now this column has only got one left wonder what that is 1 2 3 it's also a four I believe is that correct it's also a four okay if it's also a four uh we put it in now what's the ramification of that four we go four four this one here has to be a four okay but did you realize we have a seven here already that means that this has to be a six I didn't see that before okay so that becomes a six if becomes a six this becomes a seven and therefore you can cancel out this seven and we finish up with a matching 3636 matching pair that's going to be helpful later on and while we're at it this is an interesting situation because here we could have two matching pairs here's a four here's a four left right could four has to go in there we can put a four five in there if we want to and make it so whenever you see two cells left in a row column or block work on them now we were up to eight here and now we did the nines now we're ready to do the vertical columns over here ones are all done twos we only have twos well now this is interesting two two two we only have one two I think we'll go on to threes here's two there's a three here on the left here's a three here in the center the three has to go over here now look what the ramification of that is watch here closely that three will cancel out this three so therefore this becomes a six okay that six now is no longer needed so this becomes a three and we've completed a block just like that okay let's test this out three three three yeah six six now as you can six can go down in here cuz that is a 69 matching pair now that six top middle has to go in here somewhere now let's look up let's look up here oh there's a six there so that cancels that six out so this becomes a nine and this becomes a six now that block has only got one left I wonder what it is let's have a let's have a check one 2 3 4 5 six 7 7 it's a seven and we can check that out by looking up here bottom Middle top bottom that's correct here we have a left Center a seven has to be up here now it can't be in one of those two but it can't be there because of this seven so this becomes your seven okay now let me show you another really neat trick because this row has only got two cells left it has to be a matching pair so this becomes a four five matching pair well look at all these matching pairs neat and the further you go in this course the more matching pairs you see become very valuable okay what have we got left now let me see down here on this row we've only got one left one two it's a two that goes in there if that's a two okay let me just check make sure it's all correct if that's a two that goes in that line which it does so we have a center we have a right the two has to go there very good now we've got two fives in here wonder what the other number is I think it's a four I can't see a four in here so we put a 4 four five four five matching pair but now let's look up whoops wow there's a four so that changes the scenario very quickly this becomes a five and that becomes a four now let's go to the next step let's look at we just put a four in in this let's see what the ramifications are that's the center that's the left up here it has to be there which cancels out this four which makes that four a five if that by doing that that makes this a four and that makes this a five boom boom boom boom just like that it's neat now we only have one left in this row what does the number see 1 2 3 4 5 6 7 8 it's a nine there's only a n nine left in there a nine and we've completed that and I believe wacko we've completed this puzzle what have we done we have looked at being the D always looked for when there's a line of numbers within a block we can always look to see where we have only just one number out of three blocks but that will lead us to other little numbers and big numbers some times and so we've learned a lot in this process one more thing we've learned remember the 2 two two down in here yes you can do that with Little Numbers if it's within a block and if it's in a line and that's it for today's lesson next lesson we go further on bye for now